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Zhang, Juan; Liu, Jianzhou

Matrix bounds for the solution of the continuous algebraic Riccati equation. (English) Zbl 1210.15016

Math. Probl. Eng. 2010, Article ID 819064, 15 p. (2010).
Summary: We propose new upper and lower matrix bounds for the solution of the continuous algebraic Riccati equation. In certain cases, these lower bounds improve and extend the previous results. Finally, we give a corresponding numerical example to illustrate the effectiveness of our results.

Cited in 3 Documents

MSC:

15A24 Matrix equations and identities
15A45 Miscellaneous inequalities involving matrices
65F30 Other matrix algorithms (MSC2010)

Keywords:

upper and lower matrix bounds; continuous algebraic Riccati equation; numerical example
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\textit{J. Zhang} and \textit{J. Liu}, Math. Probl. Eng. 2010, Article ID 819064, 15 p. (2010; Zbl 1210.15016)
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